报告题目：Bifurcation Analysis of a Modified Leslie-Gower Predator-Prey System

报告时间：2023年6月7日14:30-15:30

报告地点：腾讯会议933-583-904

报告摘要：The Leslie-Gower model, a kind of predator-prey model with weak Allee effect, is studied in this talk. The existence and stability of non-negative equilibria are first discussed. Then, we investigate several bifurcation phenomena undergoing positive equilibria, such as saddle-node bifurcation, Hopf bifurcation and Bogdanov-Takens bifurcation, etc. Some possible dynamical behaviors of this model are illustrated by numerical simulation. The bifurcation diagrams for the cases of codimensions 2 and 3 are given respectively. The coexistence of a periodic cycle and a homoclinic cycle, and two limit cycles enclosing an unstable equilibrium are also proved. This appears to be the first study of the Leslie-Gower model including the influence of weak Allee effect on prey.

报告人简介：贾心田，北京航空航天大学博士，主要从事常微分方程定性理论及动力系统、分支问题基础及应用研究。